Transfer methods for o-minimal topology

Transfer methods for o-minimal topology

Let M be an o-minimal expansion of an ordered field. Let φ be a formula in the language of ordered domains. In this note we establish some topological properties which are transferred from$\varphi^M$to$\varphi^R$and vice versa. Then, we apply these transfer results to give a new proof of a result of...

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Veröffentlicht in:The Journal of symbolic logic 2003-09, Vol.68 (3), p.785-794
Hauptverfasser: Berarducci, Alessandro, Otero, Margarita
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Sprache:eng
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Algebra
Definable sets
Homeomorphism
Homomorphisms
Mathematical manifolds
Mathematical theorems
Topological compactness
Topology
Triangulation
Vertices
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container_title The Journal of symbolic logic
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creator Berarducci, Alessandro
Otero, Margarita
description Let M be an o-minimal expansion of an ordered field. Let φ be a formula in the language of ordered domains. In this note we establish some topological properties which are transferred from$\varphi^M$to$\varphi^R$and vice versa. Then, we apply these transfer results to give a new proof of a result of M. Edmundo-based on the work of A. Strzebonski-showing the existence of torsion points in any definably compact group defined in an o-minimal expansion of an ordered field.
doi_str_mv 10.2178/jsl/1058448438
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source Jstor Complete Legacy; JSTOR Mathematics & Statistics
subjects Algebra
Definable sets
Homeomorphism
Homomorphisms
Mathematical manifolds
Mathematical theorems
Topological compactness
Topology
Triangulation
Vertices
title Transfer methods for o-minimal topology
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